What is (-sqrt(x)+4)^2 ?

The solution to (-sqrt(x)+4)^2 is x-8sqrt(x)+16

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simplify (-sqrt(x)+4)^2

simplify

(- x + 4)^{2}

x - 8 x + 16

Solution steps

(- x + 4)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(- x + 4)^{2} = (- x)^{2} + 2 (- x) \cdot 4 + 4^{2}

= (- x)^{2} + 2 (- x) \cdot 4 + 4^{2}

(- x)^{2} = x

2 (- x) \cdot 4 = - 8 x

4^{2} = 16

= x - 8 x + 16

\frac{2 \times ( x ^{2} - 3 z )}{2 y + 9}

12 (\frac{x + 2}{x - 1} - 1)

- \frac{( x - 1 ) ^{2}}{2}

\frac{1}{( s - 2 ) ^{2}}

10.125 \cdot 3